{
  "id": 3628,
  "curve_key": "662393265240024320641:-16635987008569117134159744083905",
  "ainvs": [
    "1",
    "0",
    "0",
    "-13799859692500506680",
    "19254614592101304671643180096"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 143.82717332910624,
  "faltings_height": 9.890452109695886,
  "conductor": "2681265063185100898944986344566",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "61",
    "73",
    "127",
    "173",
    "457",
    "631",
    "3607",
    "1787719"
  ],
  "discriminant": "8031718667234367655099251283166268195377423525536369016832",
  "regulator": "86318240454.0331812220082509097044193313362421980037477293713",
  "points": [
    [
      "-3961591856",
      "108399267259240"
    ],
    [
      "1649520112",
      "31298937887944"
    ],
    [
      "1696426840",
      "26948140515616"
    ],
    [
      "2422224880",
      "6312616273096"
    ],
    [
      "6244160848",
      "420167152299208"
    ],
    [
      "11010085480",
      "1096343603006224"
    ],
    [
      "-472162943034/7921",
      "99889423559536089942/704969"
    ],
    [
      "-17928090704/25",
      "21206628235490216/125"
    ],
    [
      "7150920046992/2209",
      "9574875102792550104/103823"
    ],
    [
      "404099797175176/14161",
      "8057552424115565494544/1685159"
    ],
    [
      "1412127997173832/2209",
      "53064430390721141243384/103823"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 3/11, u = 11/5 of the Elkies-Klagsbrun family y^2 = x^3 + 2A(t,u)x^2 + B(t,u)x (arXiv:2003.00077, Sec. 9, eqs. (3)-(4)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-29 19:22:26",
  "updated_at": "2026-09-29 19:22:26"
}